Goal:
  
  __x2 : BinNums.Z
  __x1 : BinNums.Z
  __wit := [] : list ZMicromega.ZArithProof
  __varmap := VarMap.Branch (VarMap.Elt __x2) __x1 VarMap.Empty
           : VarMap.t BinNums.Z
  __ff := Tauto.IMPL
            (Tauto.A Tauto.isProp
               {|
                 RingMicromega.Flhs := EnvRing.PEX BinNums.xH;
                 RingMicromega.Fop := RingMicromega.OpLt;
                 RingMicromega.Frhs :=
                   EnvRing.PEadd (EnvRing.PEX (BinNums.xO BinNums.xH))
                     (EnvRing.PEc (BinNums.Zpos BinNums.xH))
               |} tt) None
            (Tauto.IMPL
               (Tauto.NOT
                  (Tauto.A Tauto.isProp
                     {|
                       RingMicromega.Flhs := EnvRing.PEX BinNums.xH;
                       RingMicromega.Fop := RingMicromega.OpEq;
                       RingMicromega.Frhs :=
                         EnvRing.PEX (BinNums.xO BinNums.xH)
                     |} tt)) None
               (Tauto.A Tauto.isProp
                  {|
                    RingMicromega.Flhs := EnvRing.PEX BinNums.xH;
                    RingMicromega.Fop := RingMicromega.OpLt;
                    RingMicromega.Frhs := EnvRing.PEX (BinNums.xO BinNums.xH)
                  |} tt))
       : Tauto.BFormula (RingMicromega.Formula BinNums.Z) Tauto.isProp
  ============================
   (BinInt.Z.lt __x1 (BinInt.Z.add __x2 (BinNums.Zpos BinNums.xH))
    → (__x1 = __x2 → False) → BinInt.Z.lt __x1 __x2)


DEBUG:Going to execute:
<coq-core.plugins.ltac::exact@0> $1

File "./theories/MCList.v", line 1056, characters 12-22:
Warning: Notation app_length is deprecated since 8.20.
Use length_app instead.
[deprecated-syntactic-definition-since-8.20,deprecated-since-8.20,deprecated-syntactic-definition,deprecated,default]